Calculate spring constant for cart attached to a spring

AI Thread Summary
To calculate the spring constant for a cart attached to a spring executing simple harmonic motion, the period (T) of 4 seconds and mass (m) of 2 kg are key factors. The formula for the spring constant (k) can be derived from the relationship between period, mass, and spring constant, expressed as T = 2π√(m/k). Rearranging this gives k = (4π²m) / T². Substituting the values results in k being expressed in N/m. The discussion also mentions a request to remove duplicate posts due to internet issues.
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Homework Statement


A Cart is floating on an airtrack and is connected by a spring to one fixed object. The cart executes a simple harmonic motion with a period of 4 seconds. Its mass is 2kg. Its maximum displacement from rest position is 1.8m. Calculate the spring constant and provide units.


Homework Equations


F= -kx


The Attempt at a Solution


The units would be N/m i am guessing but i am still a little lost. k is the spring constant rearranged it should be:
k = F/x right?

COULD A MOD PLEASE REMOVE THIS OR MY OTHER THREAD. INTERNET CUT OUT BUT MUST HAVE SUBMITTED TWICE
 
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how do you relate k , period and mass?
 
Hey pcm i posted in my other thread

hoping this one gets removed... double posted by accident
 

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